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Finding the Fourth Proportional to 302.03, 416.80 and 164.03

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Solution

The fourth proportional to 302.03, 416.80 and 164.03 is: 226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.03 : 416.80 = 164.03 : x
  2. Step 2: Convert to fraction form
    302.03/416.80 = 164.03/x
  3. Step 3: Cross multiply
    302.03x = 416.80 × 164.03
  4. Step 4: Simplify right side
    302.03x = 68,367.70
  5. Step 5: Solve for x
    x = 68,367.70/302.03
  6. Step 6: Final answer
    x = 226.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.